Note on Bessel functions of type $A_{N-1}$
B\'echir Amri
TL;DR
This paper introduces an iterative method and a partial product formula for Dunkl-Bessel functions of type A_{N-1} using Jack polynomial theory, advancing the analytical tools available for these special functions.
Contribution
It provides a novel iterative integral formula and a partial product formula for Dunkl-Bessel functions of type A_{N-1} based on Jack polynomial theory.
Findings
Developed an iterative integral formula for Dunkl-Bessel functions.
Derived a partial product formula for these functions.
Enhanced analytical understanding of Dunkl-Bessel functions.
Abstract
Through the theory of Jack polynomials we give an iterative method for integral formula of Dunkl-Bessel functions of type and a partial product formula for it.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Mathematical Analysis and Transform Methods · Mathematical functions and polynomials